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3 years ago

If a ball rotates 110 degrees in 8 seconds, how many degrees does it rotate in 32 seconds?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

Well 32 divided by 8 would be 4 so... 32 x 4 would be 128 so 128 times. If it’s not correct I’m really sorry.

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The balance owed on your credit card triples from $700 to $2100 in 12 months. If the balance is growing linearly then it would t

Fofino [41]

Answer:

If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Step-by-step explanation:

The exponential growth equation is:

$f(x)=700(1+0.096)^{x}$

Compute the value of f (x) for <em>x</em> = 45.4 as follows:

$f(x)=700(1+0.096)^{x}$

$=700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94$

Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

5 0

3 years ago

s there a dilation that maps shape II onto shape I? If so, what is the scale factor and is it an enlargement or a reduction?

Agata [3.3K]

Answer:

Enlargement.

Scale Factor: 3

Step-by-step explanation:

Use points to find the enlargement. Typically, you will use all the points.

A(1 , 1) ⇒ A'(3 , 3)

B(2 , 1) ⇒ B'(6 , 3)

C(1 , 2) ⇒ C'(3 , 6)

D(2 , 2) ⇒ D'(6 , 6)

To find the scale factor, simply divide the Point' with the original Point. Use any number.

A'(3 , 3)/(A(1 , 1)) = 3

B'(6 , 3)/(B(2 , 1)) = 3

C'(3 , 6)/(C(1 , 2)) = 3

D'(6 , 6)/(D(2 , 2)) = 3

Your scale factor is 3.

7 0

2 years ago

What is 710 dollars plus tax please help 100 points!!!!!!!!!!!!!!!!!!!!

matrenka [14]

This is 5 points dude, not 100. (jk I'll help!)

To find tax, you would multiply your total amount by your tax percentage. You didn't provide us with what the tax percentage was, so I'll give you what you should do, which is:

D=710+(710*t)

Where <span>t is your tax percentage and D is your final amount in dollars.

If you can provide us with the tax percentage, I would be happy to help you do that as well.

:)</span>

8 0

3 years ago

Read 2 more answers

3/5 is 30% of what number?

Daniel [21]

3/5 of what number =15

5 0

3 years ago

The average student loan debt for college graduates is $25,150.

Aleks04 [339]

Using the normal distribution, it is found that:

a) $X \approx N(25150, 12050)$

b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

c) Low: $23,519.65, High: $26,580.35.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 25150, \sigma = 12050$ .

Hence the distribution of X can be described as follows:

$X \approx N(25150, 12050)$

The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the <u>p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200</u>, hence:

X = 33950:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{33950 - 25150}{12050}$

Z = 0.73

Z = 0.73 has a p-value of 0.7673.

X = 14200:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{14200 - 25150}{12050}$

Z = -0.91

Z = -0.91 has a p-value of 0.1814.

0.7673 - 0.1814 = 0.5859.

There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:

$Z = \frac{X - \mu}{\sigma}$

$-0.127 = \frac{X - 25150}{12050}$

X - 25150 = -0.127(12050)

X = $23,519.65.

$Z = \frac{X - \mu}{\sigma}$

$0.127 = \frac{X - 25150}{12050}$

X - 25150 = 0.127(12050)

X = $26,580.35.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

5 0

2 years ago